TSTP Solution File: SYN637-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN637-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:39:08 EDT 2022

% Result   : Unsatisfiable 1.14s 0.57s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   44 (  25 unt;   0 def)
%            Number of atoms       :   69 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   50 (  25   ~;  23   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  18 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f454,plain,
    $false,
    inference(avatar_sat_refutation,[],[f419,f422,f453]) ).

fof(f453,plain,
    ~ spl20_3,
    inference(avatar_contradiction_clause,[],[f452]) ).

fof(f452,plain,
    ( $false
    | ~ spl20_3 ),
    inference(subsumption_resolution,[],[f449,f65]) ).

fof(f65,plain,
    ~ p22(sF16,sF11),
    inference(definition_folding,[],[f41,f55,f54,f53,f64,f63,f62,f45,f44,f43,f42]) ).

fof(f42,plain,
    f11(c25) = sF0,
    introduced(function_definition,[]) ).

fof(f43,plain,
    f10(c25) = sF1,
    introduced(function_definition,[]) ).

fof(f44,plain,
    f9(sF1,c28) = sF2,
    introduced(function_definition,[]) ).

fof(f45,plain,
    sF3 = f8(sF0,sF2),
    introduced(function_definition,[]) ).

fof(f62,plain,
    sF14 = f5(sF3,c26,c29),
    introduced(function_definition,[]) ).

fof(f63,plain,
    sF15 = f17(c27,sF14),
    introduced(function_definition,[]) ).

fof(f64,plain,
    f16(sF15) = sF16,
    introduced(function_definition,[]) ).

fof(f53,plain,
    f5(c25,c26,c27) = sF9,
    introduced(function_definition,[]) ).

fof(f54,plain,
    f17(c27,sF9) = sF10,
    introduced(function_definition,[]) ).

fof(f55,plain,
    sF11 = f16(sF10),
    introduced(function_definition,[]) ).

fof(f41,axiom,
    ~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p22_41) ).

fof(f449,plain,
    ( p22(sF16,sF11)
    | ~ spl20_3 ),
    inference(resolution,[],[f103,f330]) ).

fof(f330,plain,
    ! [X2] :
      ( ~ p4(sF8,X2)
      | p22(X2,sF11) ),
    inference(resolution,[],[f242,f4]) ).

fof(f4,axiom,
    ! [X3] : p4(X3,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ p4(sF11,X1)
      | ~ p4(sF8,X0)
      | p22(X0,X1) ),
    inference(resolution,[],[f28,f56]) ).

fof(f56,plain,
    p22(sF8,sF11),
    inference(definition_folding,[],[f40,f55,f54,f53,f52,f51,f50,f45,f44,f43,f42]) ).

fof(f50,plain,
    f5(sF3,c26,c27) = sF6,
    introduced(function_definition,[]) ).

fof(f51,plain,
    sF7 = f17(c27,sF6),
    introduced(function_definition,[]) ).

fof(f52,plain,
    sF8 = f16(sF7),
    introduced(function_definition,[]) ).

fof(f40,axiom,
    p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_40) ).

fof(f28,axiom,
    ! [X48,X46,X49,X47] :
      ( ~ p22(X48,X49)
      | p22(X46,X47)
      | ~ p4(X48,X46)
      | ~ p4(X49,X47) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22_28) ).

fof(f103,plain,
    ( p4(sF8,sF16)
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f101,plain,
    ( spl20_3
  <=> p4(sF8,sF16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f422,plain,
    ( ~ spl20_4
    | spl20_3 ),
    inference(avatar_split_clause,[],[f233,f101,f105]) ).

fof(f105,plain,
    ( spl20_4
  <=> p4(sF7,sF15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f233,plain,
    ( p4(sF8,sF16)
    | ~ p4(sF7,sF15) ),
    inference(superposition,[],[f84,f52]) ).

fof(f84,plain,
    ! [X2] :
      ( p4(f16(X2),sF16)
      | ~ p4(X2,sF15) ),
    inference(superposition,[],[f12,f64]) ).

fof(f12,axiom,
    ! [X10,X11] :
      ( p4(f16(X10),f16(X11))
      | ~ p4(X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_12) ).

fof(f419,plain,
    spl20_4,
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | spl20_4 ),
    inference(subsumption_resolution,[],[f417,f4]) ).

fof(f417,plain,
    ( ~ p4(c27,c27)
    | spl20_4 ),
    inference(subsumption_resolution,[],[f416,f107]) ).

fof(f107,plain,
    ( ~ p4(sF7,sF15)
    | spl20_4 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f416,plain,
    ( p4(sF7,sF15)
    | ~ p4(c27,c27) ),
    inference(subsumption_resolution,[],[f415,f219]) ).

fof(f219,plain,
    p4(sF6,sF14),
    inference(forward_demodulation,[],[f218,f50]) ).

fof(f218,plain,
    p4(f5(sF3,c26,c27),sF14),
    inference(superposition,[],[f67,f62]) ).

fof(f67,plain,
    ! [X73] : p4(f5(sF3,X73,c27),f5(sF3,X73,c29)),
    inference(definition_folding,[],[f39,f45,f44,f43,f42,f45,f44,f43,f42]) ).

fof(f39,axiom,
    ! [X73] : p4(f5(f8(f11(c25),f9(f10(c25),c28)),X73,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X73,c29)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_39) ).

fof(f415,plain,
    ( ~ p4(sF6,sF14)
    | ~ p4(c27,c27)
    | p4(sF7,sF15) ),
    inference(superposition,[],[f263,f63]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( p4(sF7,f17(X0,X1))
      | ~ p4(c27,X0)
      | ~ p4(sF6,X1) ),
    inference(superposition,[],[f32,f51]) ).

fof(f32,axiom,
    ! [X65,X62,X63,X64] :
      ( p4(f17(X62,X63),f17(X64,X65))
      | ~ p4(X62,X64)
      | ~ p4(X63,X65) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : SYN637-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.37  % Computer : n028.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Tue Aug 30 22:22:49 EDT 2022
% 0.13/0.38  % CPUTime    : 
% 0.20/0.51  % (22495)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (22487)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (22478)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (22481)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (22491)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52  % (22493)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (22499)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53  % (22497)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.93/0.53  % (22475)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.93/0.53  % (22483)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.93/0.53  % (22490)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.93/0.53  % (22485)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.93/0.53  % (22489)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.93/0.54  % (22473)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.93/0.54  % (22474)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.93/0.54  % (22477)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.93/0.54  % (22478)Instruction limit reached!
% 0.93/0.54  % (22478)------------------------------
% 0.93/0.54  % (22478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.93/0.54  % (22478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.93/0.54  % (22478)Termination reason: Unknown
% 0.93/0.54  % (22478)Termination phase: Saturation
% 0.93/0.54  
% 0.93/0.54  % (22478)Memory used [KB]: 5500
% 0.93/0.54  % (22478)Time elapsed: 0.128 s
% 0.93/0.54  % (22478)Instructions burned: 8 (million)
% 0.93/0.54  % (22478)------------------------------
% 0.93/0.54  % (22478)------------------------------
% 0.93/0.54  TRYING [1]
% 0.93/0.54  % (22500)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.93/0.54  TRYING [2]
% 0.93/0.55  % (22482)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.93/0.55  % (22492)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.14/0.55  % (22496)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.14/0.55  % (22488)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.14/0.55  % (22484)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.14/0.55  % (22495)First to succeed.
% 1.14/0.55  % (22480)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.14/0.56  % (22476)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.14/0.56  TRYING [1]
% 1.14/0.56  TRYING [2]
% 1.14/0.56  % (22472)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.14/0.57  TRYING [3]
% 1.14/0.57  % (22472)Refutation not found, incomplete strategy% (22472)------------------------------
% 1.14/0.57  % (22472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.57  % (22472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.57  % (22472)Termination reason: Refutation not found, incomplete strategy
% 1.14/0.57  
% 1.14/0.57  % (22472)Memory used [KB]: 5500
% 1.14/0.57  % (22472)Time elapsed: 0.102 s
% 1.14/0.57  % (22472)Instructions burned: 2 (million)
% 1.14/0.57  % (22472)------------------------------
% 1.14/0.57  % (22472)------------------------------
% 1.14/0.57  TRYING [3]
% 1.14/0.57  % (22495)Refutation found. Thanks to Tanya!
% 1.14/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.14/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.14/0.58  % (22495)------------------------------
% 1.14/0.58  % (22495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.14/0.58  % (22495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.14/0.58  % (22495)Termination reason: Refutation
% 1.14/0.58  
% 1.14/0.58  % (22495)Memory used [KB]: 5756
% 1.14/0.58  % (22495)Time elapsed: 0.148 s
% 1.14/0.58  % (22495)Instructions burned: 18 (million)
% 1.14/0.58  % (22495)------------------------------
% 1.14/0.58  % (22495)------------------------------
% 1.14/0.58  % (22470)Success in time 0.186 s
%------------------------------------------------------------------------------